The account, which covers paid search, display and strategic consultancy, will be headed up by Donna McGrory, CheezeDMG group account director.
Tiger.co.uk provides price comparison quotes for car, bike and commercial vehicle insurance from a wide range of insurance providers.
CheezeDMG's task is to generate awareness of the Tiger.co.uk brand with internet users and increase traffic to the site, driving quotes and sales.
Jo Buck, Call Connection's marketing manager, said: "Now that we've completed a redesign of the site with improved user experience and products given more prominence, we're ready to ramp up our digital marketing activity.
"CheezeDMG's direct response expertise coupled with experience in the financial services industry and launching new brands online sealed the deal."
Donna McGrory, group account director at CheezeDMG, said: "Insurance is an evolving and competitive market, so it's great that we can help launch the new Tiger.co.uk brand in this marketplace.
"We'll be looking to quickly drive learning from campaigns to optimise and improve performance and deliver the best possible return on investment."